Jon spent $322 on advertising to attract customers to his new pie shop. Each pie costs $11 to make, and Jon will sell them for $25 each. Which equation can you use to find p, the number of pies Jon must sell for his sales to equal his expenses? Choices: (A)25p = 322 + 11p (B)322p = 25p + 11 How many pies must Jon sell for his sales to equal his expenses? ____ pies

Question

Jon spent $322 on advertising to attract customers to his new pie shop. Each pie costs $11 to make, and Jon will sell them for $25 each. Which equation can you use to find p, the number of pies Jon must sell for his sales to equal his expenses?   Choices: (A)25p = 322 + 11p (B)322p = 25p + 11  How many pies must Jon sell for his sales to equal his expenses?   ____ pies

Bytelearn · Accepted Answer

Expenses and Revenue Equation: Jon's expenses include the cost of advertising and the cost of making each pie. His revenue is the amount he sells each pie for. We need to set up an equation where the total revenue equals the total expenses.Total Cost Calculation: The total cost of advertising is $322, and the cost to make each pie is $11. So, the total cost for p pies is $322 + $11p.Total Revenue Calculation: Jon sells each pie for $25, so his total revenue for p pies is $25p.Setting Break-Even Point: To find the break-even point where revenue equals expenses, we set the total revenue equal to the total expenses: $25p = $322 + $11p.Isolating Variable p: Now we need to solve for p. We can do this by subtracting $11p from both sides to isolate the variable p on one side of the equation: $25p - $11p = $322.Solving for p: Simplifying the left side of the equation gives us $14p = $322.Final Calculation: To find p, we divide both sides of the equation by $14: $14p / $14 = $322 / $14.Calculating the right side of the equation gives us p = $322 / $14 = 23.

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